Taking into account Measurement Noise and Technological Constraints on Model Reduction and Controller Synthesis
Résumé
Most of control systems are subject to physical and technological constraints, e.g. measurement noise, input and output ranges of digital devices (ADC, DAC), etc. In this paper, we first give a formalization of the practical constraints, and then show that these constraints limit the achievable bandwidth in closed loop. Consequently, it is sufficient to satisfy the specifications of modelling or controller synthesis on a limited frequency band, and not on all frequencies. By applying this approach to modelling problem, we propose a control-oriented modelling method with the guarantee of robustness margins obtained for controlled system. An experimental application, temperature control of thermal process, is presented to illustrate the applicability of the proposed approach.